290 citations · 1.8k across the 59 of their papers we have counts for
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High-Dimensional Statistics
Philippe Rigollet, Jan-Christian Hütter
These lecture notes were written for the course 18.657, High Dimensional Statistics at MIT. They build on a set of notes that was prepared at Princeton University in 2013-14 that w…
Optimal transport for automatic alignment of untargeted metabolomic data
Marie Breeur, George Stepaniants, Pekka Keski-Rahkonen +2
Untargeted metabolomic profiling through liquid chromatography-mass spectrometry (LC-MS) measures a vast array of metabolites within biospecimens, advancing drug development, disea…
The emergence of clusters in self-attention dynamics
Borjan Geshkovski, Cyril Letrouit, Yury Polyanskiy +1
Viewing Transformers as interacting particle systems, we describe the geometry of learned representations when the weights are not time dependent. We show that particles, represent…
Learning Gaussian Mixtures Using the Wasserstein-Fisher-Rao Gradient Flow
Yuling Yan, Kaizheng Wang, Philippe Rigollet
Gaussian mixture models form a flexible and expressive parametric family of distributions that has found applications in a wide variety of applications. Unfortunately, fitting thes…
On the Approximation Accuracy of Gaussian Variational Inference
Anya Katsevich, Philippe Rigollet
The main computational challenge in Bayesian inference is to compute integrals against a high-dimensional posterior distribution. In the past decades, variational inference (VI) ha…